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rose-ash/lib/ocaml/baseline/histogram_area.ml
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ocaml: phase 5.1 histogram_area.ml baseline (largest rectangle = 10)
Linear-time stack algorithm for largest rectangle in histogram:

  for i = 0 to n do
    let h = if i = n then 0 else heights.(i) in
    while top-of-stack's height > h do
      pop the top, compute its max-width rectangle:
        width = (no-stack ? i : i - prev_top - 1)
        area  = height * width
      update best
    done;
    if i < n then push i
  done

Sentinel pass at i=n with h=0 flushes the remaining stack.

For [2; 1; 5; 6; 2; 3], bars at indices 2 (h=5) and 3 (h=6) form
a width-2 rectangle of height 5 = 10.

Tests guarded patterns with `when` inside while-cont-flag, nested
`match !stack with | [] -> i | t :: _ -> i - t - 1` for width
computation.

178 baseline programs total.
2026-05-11 01:42:26 +00:00

28 lines
657 B
OCaml

let max_rect heights =
let n = Array.length heights in
let stack = ref [] in
let best = ref 0 in
for i = 0 to n do
let h = if i = n then 0 else heights.(i) in
let cont = ref true in
while !cont do
match !stack with
| top :: rest when heights.(top) > h ->
let height = heights.(top) in
stack := rest;
let width = match !stack with
| [] -> i
| t :: _ -> i - t - 1
in
let area = height * width in
if area > !best then best := area
| _ -> cont := false
done;
if i < n then stack := i :: !stack
done;
!best
;;
max_rect [| 2; 1; 5; 6; 2; 3 |]